To expand the expression 7/10(5d+6), we can distribute the fraction 7/10 to each term inside the parentheses.
7/10(5d+6) = (7/10)(5d) + (7/10)(6)
To multiply a fraction by a whole number, we can multiply the numerator of the fraction by the whole number and keep the denominator the same.
= (7 * 5d) / (10) + (7 * 6) / (10)
Simplifying this further, we have:
= (35d) / 10 + 42 / 10
To add or subtract fractions, the denominators must be the same. In this case, the denominators are both 10, so we can add the numerators directly.
= (35d + 42) / 10
Therefore, the expanded form of 7/10(5d+6) is (35d + 42) / 10.
expand 7/10(5d+6)
7/10 is a fraction
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expand -5/8(3p +8)
expand -5/8(3p +8)
To expand the expression -5/8(3p + 8), we will again distribute the fraction -5/8 to each term inside the parentheses:
= (-5/8)(3p) + (-5/8)(8)
Multiplying a fraction by a whole number, we multiply the numerator of the fraction by the whole number and keep the denominator the same:
= (-5 * 3p) / 8 + (-5 * 8) / 8
Simplifying further:
= (-15p) / 8 + (-40) / 8
To add or subtract fractions, we must have the same denominator. In this case, the denominator is 8, so we can add the numerators directly:
= (-15p - 40) / 8
Therefore, the expanded form of -5/8(3p + 8) is (-15p - 40) / 8.
= (-5/8)(3p) + (-5/8)(8)
Multiplying a fraction by a whole number, we multiply the numerator of the fraction by the whole number and keep the denominator the same:
= (-5 * 3p) / 8 + (-5 * 8) / 8
Simplifying further:
= (-15p) / 8 + (-40) / 8
To add or subtract fractions, we must have the same denominator. In this case, the denominator is 8, so we can add the numerators directly:
= (-15p - 40) / 8
Therefore, the expanded form of -5/8(3p + 8) is (-15p - 40) / 8.